401 citations · 2.4k across the 31 of their papers we have counts for
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Hamilton-Jacobi hydrodynamics of pulsating relativistic stars
John Ryan Westernacher-Schneider, Charalampos Markakis, Bing Jyun Tsao
The dynamics of self-gravitating fluid bodies is described by the Euler-Einstein system of partial differential equations. The break-down of well-posedness on the fluid-vacuum inte…
New code for equilibriums and quasiequilibrium initial data of compact objects. IV. Rotating relativistic stars with mixed poloidal and toroidal magnetic fields
Koji Uryu, Shijun Yoshida, Eric Gourgoulhon +5
A new code for computing fully general relativistic solutions of strongly magnetized rapidly rotating compact stars is developed as a part of the COCAL (Compact Object CALculator)…
Probing Dark Energy through Perfect Fluid Thermodynamics
Georgios Lukes-Gerakopoulos, Giovanni Acquaviva, Charalampos Markakis
We demonstrate that the thermodynamics of a perfect fluid describing baryonic matter can, in certain limits, lead to an equation of state similar to that of dark energy. We keep th…
Time-symmetry, symplecticity and stability of Euler-Maclaurin and Lanczos-Dyche integration
Charalampos M. Markakis, Michael F. O'Boyle, Derek Glennon +5
Numerical evolution of time-dependent differential equations via explicit Runge-Kutta or Taylor methods typically fails to preserve symmetries of a system. It is known that there e…